Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
troy is building a ramp for his toy cars. the plank he is using for the ramp is 10 feet long and is placed on a 2 - foot - high box.
how far from the box is the bottom edge of troys ramp, in feet?
√96 feet
8 feet
96 feet
√104 feet

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse of a right - triangle, and \(a\) and \(b\) are the other two sides. In this case, \(a = 2\) (height of the box), \(c=10\) (length of the ramp), and we need to find \(b\).
So, \(b^{2}=c^{2}-a^{2}\).
Substitute \(a = 2\) and \(c = 10\) into the formula: \(b^{2}=10^{2}-2^{2}\).

Step2: Calculate \(b^{2}\)

\(b^{2}=100 - 4\).
\(b^{2}=96\).

Step3: Solve for \(b\)

Take the square root of both sides: \(b=\sqrt{96}\).

Answer:

\(\sqrt{96}\) feet